Least Square Homotopy Perturbation Method for Ordinary Differential Equations

Table 2

Comparison of second-order absolute error of LSHPM with HPM and RK4 in Problem 2.

	Exact	LSHPM		HPM		RK4
	Solution	Solution	Error	Solution	Error	Error [19]
0.1	0.01	0.01		0.00886897
0.2	0.04	0.04		0.0378151
0.3	0.09	0.09		0.086977
0.4	0.16	0.16		0.156489
0.5	0.25	0.25		0.246425
0.6	0.36	0.36		0.356776
0.7	0.49	0.49		0.487449
0.8	0.64	0.64		0.638298
0.9	0.81	0.81	0.	0.809174
1.	1.	1.	0.	1.	0.